Are the expressions -18 - 1/2(50z + 60) - 35z and 6(-12 - 10z + 4) both equivalent to 12(-5z - 4)? Show your work.

Required down payment = $15 000

The monthly mortgage payment = $777.53

EXPLANATION

According to the data given:

Cost of house = $100 000

Interest rate = 10.5%

Time = 30 - years

Down payment = 15% of cost of the house

=0.15 x 100 000

= 15000

Hence, the required down payment = $15 000

We can now proceed to solve the second part of the question,

Amount borrowed (A) = Cost of house - down payment

= 100 000 - 15 000

=85 000

Now using the formula,

Looking up in the table entry, since the rate is 10.5% and the loan is being financed for 30-years, the number from the table is 9.14739 (The value you get when you check 10.5% under 30 years in tha given table).

Substitute the following values into the formula and simplify;

A= 85 000 and table entry= 9.14739

Hence, the monthly mortgage payment = $777.53

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

The value of distance AB is 187.5 units

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.

sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

The opposite side to angle A is BC

the opposite side to angle C is AB

therefore;

A = 180-( 117 +24)

A = 180- 141

A = 39°

290/sin 39 = x/ sin24

xsin39 = 290 × sin24

0.629x = 117.95

x = 117.95/0.629

x = 187.5

therefore the distance AB is 187.5

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Answer:

3

Step-by-step explanation:

there you go pal :)))))

Answer:

Step-by-step explanation:

1.shifts up 3 units

3.reflection about the y-axis

2. reflection about the x-axis

The value of x and y obtained when multiplying equations to eliminate variable is y = -62/40 and x = -18/16.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

The given equations are:

5x - 3y = 6, and

2x + 5y = -10

Isolate the value of x in the following equation:

5x - 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

Substitute the value of x as follows:

2x + 5y = -10

(2) (6 + 3y)/5 + 5y = -10

12 + 15y + 25y = -50

40y = -50 -12

40y = -62

y = -62/40

Substitute the value of y to find the value of x:

2x + 5(-62/40) = -10

16x - 62 = -80

16x = -80 + 62

16x = -18

x = -18/16

Hence, the value of x and y obtained when multiplying equations to eliminate variable is y = -62/40 and x = -18/16.

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9514 1404 393

Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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The two sides and two top angles are identical so the two bottom halves are the same

18 -2r = 4R

Add 2r to both sides

18 = 6r

Divide both sides by 6

R = 3

The answer is A. 3

40 is 20% of what number? 200

60 is 25% of what number? 240

73 is 20% of what number?365

10 is 5% of what number? 200

12 is 24% of what number? 50

Mallorie has $5 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowance? $50

Jacob has $10 in his wallet. If this is 40% of his weekly allowance, what is his weekly allowance? $25

13 is 26% of what number? 50

120 is 30% of what number? 400

In the first year, a new car can lose 20% of its value. If a car lost $4,200 of value in the first year, how much did the car originally cost? $21000

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

Factors of 20: 1, 20, 5,4

Lowest common multiple is 1

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer: 7 x 3 = 21

Step-by-step explanation:

The solution for the given equation is x=5.

The given equation is 7x - 14 = 21.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here,

7x - 14 = 21

⇒ 7x=35

⇒ x=35/7

⇒ x=5

Therefore, the solution for the given equation is x=5.

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Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

hey, how you're day going

Step-by-step explanation:

.................

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 0, \sigma = 1\)

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

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Answer:

Just keep adding 5 for each month.

Step-by-step explanation:

10 + 5 = 15

15 is first month

20 second

25 third

30 fourth

35 fifth

40 six

etc.

Equation :

10 + (5m)

m = number of months that have passed by.

The percentage  of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.

What is the percent in a Venn diagram about?

The common aspect of this Venn diagram shows the percentage that has the respondents or class that is been classified into groups.

For one to be able to calculate the percentage that stands for the amount of food in classified into the groups, we must need to find the sum of group and group . Then subtract that rate from percent.

In the case above, it need no calculation because in the diagram attached, the percentage is shown to be the shaded portion,

Hence, The percentage  of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.

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Answer:

-61

Step-by-step explanation:

This is the answer because -61 minus -5 is -66 which in turn is divided by six, which gives you the answer of -11

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

-36

Step-by-step explanation:

Step 1: Define

-x² + 2x - 3y²

x = -4

y = -2

Step 2: Substitute and evaluate

-(-4)² + 2(-4) - 3(-2)²

-16 - 8 - 3(4)

-24 - 12

-36

Answer:

Therefore, there will be 18,225 house flies in 1 year. (It's kind of a joke/trick question since House Flies only live 28 days (range 15-30 days). So, in reality, you'll have to take that into consideration.

Step-by-step explanation:

Since the population triples every 2 months, we can express the population as:

P = 25 * 3^(t/2)

Where P is the population size after t months.

To find the population size after 1 year, we need to substitute t = 12 into the equation:

P = 25 * 3^(12/2)

P = 25 * 3^6

P = 25 * 729

P = 18225

Therefore, there will be 18,225 house flies in 1 year.

Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

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The student would spend $18 on books and lab manuals.

An expenditure refers to the spending of money on something or the money that is spent on something.

Total Expenditure = Lab fee + Materials fee + Tuition + Books and lab manuals + Tools

Total Expenditure = 8% + 10% + 38% + 18% + 26%

Total Expenditure = 100%

We will calculate the amount spent on books and lab manuals. The amount spent on books and lab manuals is:

= (Books and lab manuals percentage / Total Expenditure percentage) * $100

= (18% / 100%) * $100

= 0.18 * $100

= $18.

Missing details:

On pie chart  for School Expenditures; Lab fee = 8% Materials fee =10% Tuition = 38% Books and lab manuals = 18% Tools = 26%

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Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.